{"_buckets": {"deposit": "c1312f79-9f42-43c3-96b3-b433e9344f26"}, "_deposit": {"id": "8517", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "8517"}, "status": "published"}, "_oai": {"id": "oai:nagoya.repo.nii.ac.jp:00008517"}, "item_10_alternative_title_19": {"attribute_name": "\u305d\u306e\u4ed6\u306e\u8a00\u8a9e\u306e\u30bf\u30a4\u30c8\u30eb", "attribute_value_mlt": [{"subitem_alternative_title": "Solution of Non-linear Poisson Equation by Trefftz Method"}]}, "item_10_biblio_info_6": {"attribute_name": "\u66f8\u8a8c\u60c5\u5831", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2002", "bibliographicIssueDateType": "Issued"}, "bibliographicIssueNumber": "7", "bibliographicPageEnd": "2280", "bibliographicPageStart": "2272", "bibliographicVolumeNumber": "43", "bibliographic_titles": [{"bibliographic_title": "\u60c5\u5831\u51e6\u7406\u5b66\u4f1a\u8ad6\u6587\u8a8c"}]}]}, "item_10_description_4": {"attribute_name": "\u6284\u9332", "attribute_value_mlt": [{"subitem_description": "Trefftz\u6cd5\u306f,\u652f\u914d\u65b9\u7a0b\u5f0f\u3092\u6e80\u8db3\u3059\u308b\u975e\u7279\u7570\u306aT-complete\u95a2\u6570\u3092\u7528\u3044\u305f\u6570\u5024\u89e3\u6790\u6cd5\u3067\u3042\u308b.\u3053\u308c\u307e\u3067,2\u6b21\u5143\u30843\u6b21\u5143\u306e\u30e9\u30d7\u30e9\u30b9\u65b9\u7a0b\u5f0f,2\u6b21\u5143\u5f3e\u6027\u554f\u984c\u306a\u3069\u306e\u6570\u5024\u89e3\u6790\u306b\u9069\u7528\u3055\u308c,\u305d\u306e\u6570\u5b66\u7684\u7279\u6027\u304c\u7814\u7a76\u3055\u308c\u3066\u3044\u308b.\u3053\u308c\u306b\u5bfe\u3057\u3066,\u672c\u8ad6\u6587\u3067\u306fTrefftz\u6cd5\u3092\u7528\u3044\u305f2\u6b21\u5143\u30dd\u30a2\u30bd\u30f3\u65b9\u7a0b\u5f0f\u306e\u89e3\u6cd5\u306b\u3064\u3044\u3066\u8ff0\u3079\u308b.\u30dd\u30a2\u30bd\u30f3\u65b9\u7a0b\u5f0f\u306f\u975e\u540c\u6b21\u9805\u3092\u6709\u3059\u308b\u306e\u3067,\u652f\u914d\u65b9\u7a0b\u5f0f\u3092\u6e80\u8db3\u3059\u308bT-complete\u95a2\u6570\u3092\u6c7a\u5b9a\u3059\u308b\u3053\u3068\u306f\u4e00\u822c\u7684\u306b\u306f\u56f0\u96e3\u3067\u3042\u308b.\u305d\u3053\u3067,\u672c\u8ad6\u6587\u3067\u306f,\u672a\u77e5\u95a2\u6570\u3092\u542b\u3080\u975e\u540c\u6b21\u9805\u3092\u30c7\u30ab\u30eb\u30c8\u5ea7\u6a19\u7cfb\u306e\u591a\u9805\u5f0f\u3067\u8fd1\u4f3c\u3057,\u30e9\u30d7\u30e9\u30b9\u65b9\u7a0b\u5f0f\u306eT-complete\u95a2\u6570\u3068\u8fd1\u4f3c\u591a\u9805\u5f0f\u306b\u5bfe\u5fdc\u3059\u308b\u7279\u89e3\u3067\u30dd\u30a2\u30bd\u30f3\u65b9\u7a0b\u5f0f\u306e\u89e3\u3092\u8fd1\u4f3c\u3059\u308b.\u305d\u3057\u3066,\u8fd1\u4f3c\u89e3\u304c\u5883\u754c\u6761\u4ef6\u5024\u3092\u6e80\u8db3\u3059\u308b\u3088\u3046\u306b\u3057\u3066,\u672a\u77e5\u30d1\u30e9\u30e1\u30fc\u30bf\u3092\u6c7a\u5b9a\u3059\u308b.\u3044\u304f\u3064\u304b\u306e\u89e3\u6790\u4f8b\u306b\u3064\u3044\u3066\u63d0\u6848\u3059\u308b\u65b9\u6cd5\u3092\u9069\u7528\u3057,\u305d\u306e\u6570\u5b66\u7684\u7279\u6027\u3092\u691c\u8a0e\u3059\u308b. Trefftz method is the boundary-type solution procedure using the non-singular T-complete functions satisfying the governing equation. Until now, it is applied to numerical analyses of the two- and three-dimensional Laplace equations and the 2-dimensional elastic problem and the mathematical characteristic is studied. On the other hand, this paper describes the application of the Trefftz method to solve the boundary value problem of two-dimensional Poisson equation. Since the Poisson equation has non-homogeneous term, it is generally difficult to determine the function satisfying the governing equation. In this paper, non-homogeneous term containing an unknown function is approximated by the polynomial in the Cartesian coordinates and then, the solution for the Poisson equation is approximated with the superposition of the T-complete function of the Laplace equation and the particular solutions related to the approximate polynomal. Unknown parameters included in the approximate solution are determined so that the solution satisfies the boundary conditions. The present scheme is applied to some examples in order to study the numerical properties.", "subitem_description_type": "Abstract"}]}, "item_10_identifier_60": {"attribute_name": "URI", "attribute_value_mlt": [{"subitem_identifier_type": "HDL", "subitem_identifier_uri": "http://hdl.handle.net/2237/10264"}]}, "item_10_publisher_32": {"attribute_name": "\u51fa\u7248\u8005", "attribute_value_mlt": [{"subitem_publisher": "\u60c5\u5831\u51e6\u7406\u5b66\u4f1a"}]}, "item_10_rights_12": {"attribute_name": "\u6a29\u5229", "attribute_value_mlt": [{"subitem_rights": "\u3053\u3053\u306b\u63b2\u8f09\u3057\u305f\u8457\u4f5c\u7269\u306e\u5229\u7528\u306b\u95a2\u3059\u308b\u6ce8\u610f \u672c\u8457\u4f5c\u7269\u306e\u8457\u4f5c\u6a29\u306f\uff08\u793e\uff09\u60c5\u5831\u51e6\u7406\u5b66\u4f1a\u306b\u5e30\u5c5e\u3057\u307e\u3059\u3002\u672c\u8457\u4f5c\u7269\u306f\u8457\u4f5c\u6a29\u8005\u3067\u3042\u308b\u60c5\u5831\u51e6\u7406\u5b66\u4f1a\u306e\u8a31\u53ef\u306e\u3082\u3068\u306b\u63b2\u8f09\u3059\u308b\u3082\u306e\u3067\u3059\u3002\u3054\u5229\u7528\u306b\u5f53\u305f\u3063\u3066\u306f\u300c\u8457\u4f5c\u6a29\u6cd5\u300d\u306a\u3089\u3073\u306b\u300c\u60c5\u5831\u51e6\u7406\u5b66\u4f1a\u502b\u7406\u7db1\u9818\u300d\u306b\u5f93\u3046\u3053\u3068\u3092\u304a\u9858\u3044\u3044\u305f\u3057\u307e\u3059\u3002 Notice for the use of this material The copyright of this material is retained by the Information Processing Society of Japan (IPSJ). 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